Just a note: if you do change it, keep it below 1024. Otherwise if ssh dies anyone on the server can create a client listening on that port and steal credentials.

That's a somewhat obsolete belief – people have been scanning arbitrary ports for many, many years and SSH daemons helpfully announce themselves to search engines:

https://www.shodan.io/report/uMZDnWfT

This is a long-running problem and one with various popular solutions: restrict the source networks which you accept traffic for, disable password authentication entirely, and add some sort of rate limiting (e.g. 2004's fail2ban) for failures. Trying to reduce log volume by obscurity is futile - you really need to address the root problem and use tools which allow you to filter and aggregate effectively.

You have 10 bits of entropy at best, unless you put it above 1024, at which point if it dies, any none privileged user on the box can sniff passwords.